Year: 2019
Author: Jiequan Li
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 3 : pp. 571–582
Abstract
This paper presents the understanding of the fundamentals when designing a numerical schemes for hyperbolic problems with discontinuities as parts of their solutions. The fundamentals include the consistency with hyperbolic balance laws in integral form rather than PDE form, spatial-temporal coupling, thermodynamic consistency for computing compressible fluid flows, convergence arguments and multidimensionality etc. Some numerical results are shown to display the performance.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2018.s02
Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 3 : pp. 571–582
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hyperbolic problems compressible fluid flows shocks material interfaces Lax-Wendroff type methods generalized Riemann problem (GRP) method.
Author Details
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A staggered-projection Godunov-type method for the Baer-Nunziato two-phase model
Lei, Xin
Li, Jiequan
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